Angle a and b equals 103 and angle d equals 22. Use the triangle sum theorem to find the measure of the angle on point c.
The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.
Therefore, we can apply this theorem to determine the measure of angle c.
Since we are given that angle a and b are equal to 103 degrees each, the sum of these two angles is 103 + 103 = 206 degrees.
Next, we are given that angle d has a measure of 22 degrees.
To find the measure of angle c, we subtract the sum of angles a, b, and d from 180 degrees:
Angle c = 180 - (206 + 22)
Angle c = 180 - 228
Angle c = -48 degrees
Therefore, the measure of angle c is -48 degrees.